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Simplifying 4(6x + 2) + -5(x + -2) = 6x + -54 + x Reorder the terms: 4(2 + 6x) + -5(x + -2) = 6x + -54 + x (2 * 4 + 6x * 4) + -5(x + -2) = 6x + -54 + x (8 + 24x) + -5(x + -2) = 6x + -54 + x Reorder the terms: 8 + 24x + -5(-2 + x) = 6x + -54 + x 8 + 24x + (-2 * -5 + x * -5) = 6x + -54 + x 8 + 24x + (10 + -5x) = 6x + -54 + x Reorder the terms: 8 + 10 + 24x + -5x = 6x + -54 + x Combine like terms: 8 + 10 = 18 18 + 24x + -5x = 6x + -54 + x Combine like terms: 24x + -5x = 19x 18 + 19x = 6x + -54 + x Reorder the terms: 18 + 19x = -54 + 6x + x Combine like terms: 6x + x = 7x 18 + 19x = -54 + 7x Solving 18 + 19x = -54 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + 19x + -7x = -54 + 7x + -7x Combine like terms: 19x + -7x = 12x 18 + 12x = -54 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 12x = -54 + 0 18 + 12x = -54 Add '-18' to each side of the equation. 18 + -18 + 12x = -54 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = -54 + -18 12x = -54 + -18 Combine like terms: -54 + -18 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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